For the Stirling numbers of the second kind, Hong, Zhao and
Zhao [1]} confirmed a conjecture of Amdeberhan, Manna and Moll [2]}
by showing that \(v_2(S(2^n+1, k+1))=v_2(S(2^n, k))\) . For the
Stirling numbers of the first kind, Qiu and Hong [3]} established
a similar result which states that \(v_2(s(2^n+1, k+1))=v_2(s(2^n, k))\) . Now by using
Theorem REF , we can prove the following result which is the second main
result of this paper.
